Question

What are the slope and y-intercept of the line of best fit on this scatterplot

Answer 1

Answer:

A. The y-intercept is 8 and the slope is $-\frac{4}{3}$

Step-by-step explanation:

The point where line meets y-axis is called the y-intercept.

So, y-intercept = (0, 8)

Slope is the direction of line and it is calculated as,

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where (x₁, y₁) and ( x₂, y₂) are any two points on the line.

Let (x₁, y₁) = (0, 8) and (x₂, y₂) = (6, 0)

∴ $Slope = \frac{0-8}{6-0}$

⇒ $Slope = -\frac{4}{3}$

Hence, Option (A) is correct.